Uniform exponential trisplitting : a new criterion for discrete skew-product semiflows

Biriş, Larisa Elena and Ceaușu, Traian and Mihiț, Claudia Luminița and Popa, Ioan-Lucian: Uniform exponential trisplitting : a new criterion for discrete skew-product semiflows. Electronic journal of qualitative theory of differential equations 70. pp. 1-22. (2019)

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Abstract

In the present paper the concept of uniform exponential trisplitting for skew-product flows in Banach space is considered. This concept is a generalisation of the well-known concept of uniform exponential trichotomy. Connections between these concepts are presented and some illustrating examples prove that these are distinct. Also, we present necessary and sufficient conditions for the uniform exponential trisplitting concept with invariant and strongly invariant projectors. Finally, a characterisation in terms of Lyapunov sequences is given.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 70
Page Range: pp. 1-22
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2018.1.70
Uncontrolled Keywords: Banach-tér
Additional Information: Bibliogr.: p. 20-22. ; összefoglalás angol nyelven
Date Deposited: 2020. Jan. 27. 10:45
Last Modified: 2020. Jan. 27. 10:45
URI: http://acta.bibl.u-szeged.hu/id/eprint/64714

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